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Finding the Fourth Proportional to 27,842.16, 41,765.19 and 11,202.27

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Solution

The fourth proportional to 27,842.16, 41,765.19 and 11,202.27 is: 16,804.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,842.16 : 41,765.19 = 11,202.27 : x
  2. Step 2: Convert to fraction form
    27,842.16/41,765.19 = 11,202.27/x
  3. Step 3: Cross multiply
    27,842.16x = 41,765.19 × 11,202.27
  4. Step 4: Simplify right side
    27,842.16x = 467,864,934.98
  5. Step 5: Solve for x
    x = 467,864,934.98/27,842.16
  6. Step 6: Final answer
    x = 16,804.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.